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Weighted Green functions for complex Hessian operators 复Hessian算子的加权Green函数
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2022-06-11 DOI: 10.4064/ap220509-27-10
Hadhami Elaini, A. Zeriahi
{"title":"Weighted Green functions for complex Hessian operators","authors":"Hadhami Elaini, A. Zeriahi","doi":"10.4064/ap220509-27-10","DOIUrl":"https://doi.org/10.4064/ap220509-27-10","url":null,"abstract":"Let $1leq mleq n$ be two fixed integers. Let $Omega Subset mathbb C^n$ be a bounded $m$-hyperconvex domain and $mathcal A subset Omega times ]0,+ infty[$ a finite set of weighted poles. We define and study properties of the $m$-subharmonic Green function of $Omega$ with prescribed behaviour near the weighted set $A$. In particular we prove uniform continuity of the exponential Green function in both variables $(z,mathcal A)$ in the metric space $bar Omega times mathcal F$, where $mathcal F$ is a suitable family of sets of weighted poles in $Omega times ]0,+ infty[$ endowed with the Hausdorff distance. Moreover we give a precise estimates on its modulus of continuity. Our results generalize and improve previous results concerning the pluricomplex Green function du to P. Lelong.","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48693816","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Viscosity solutions toparabolic complex Hessian type equations 粘度解对抛物复Hessian型方程
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2022-01-30 DOI: 10.4064/ap220130-7-9
H. Do
{"title":"Viscosity solutions to\u0000parabolic complex Hessian type equations","authors":"H. Do","doi":"10.4064/ap220130-7-9","DOIUrl":"https://doi.org/10.4064/ap220130-7-9","url":null,"abstract":"In this paper, we show the existence and uniqueness of viscosity solution to the Cauchy-Dirichlet problem for a class of fully nonlinear parabolic equations. This extends recent results of Eyssidieux-Guedj-Zeriahi in [7].","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70585305","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A generalized Second Main Theorem for closed subschemes 闭子格式的广义第二主定理
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2022-01-12 DOI: 10.4064/ap220604-10-11
L. Wang, T. Cao, Hongzhe Cao
{"title":"A generalized Second Main Theorem for closed subschemes","authors":"L. Wang, T. Cao, Hongzhe Cao","doi":"10.4064/ap220604-10-11","DOIUrl":"https://doi.org/10.4064/ap220604-10-11","url":null,"abstract":"Let Y1, . . . , Yq be closed subschemes located in l-subgeneral position with index κ in complex projective variety X of dimension n. Let A be an ample Cartier divisor on X. We obtain that if a holomorphic curve f : C → X is Zariski-dense, then for every ǫ > 0, q","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42265471","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Complex boundary value problems in a lens 透镜中的复杂边值问题
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2022-01-01 DOI: 10.4064/ap220416-21-7
F. Joveini, M. Akbari
{"title":"Complex boundary value problems in a lens","authors":"F. Joveini, M. Akbari","doi":"10.4064/ap220416-21-7","DOIUrl":"https://doi.org/10.4064/ap220416-21-7","url":null,"abstract":"","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70584907","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence of mild solutions for Hilfer fractional evolution equations in Banach space Banach空间中Hilfer分数阶演化方程温和解的存在性
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2022-01-01 DOI: 10.4064/ap210210-9-7
Haide Gou
{"title":"Existence of mild solutions for Hilfer fractional evolution equations in Banach space","authors":"Haide Gou","doi":"10.4064/ap210210-9-7","DOIUrl":"https://doi.org/10.4064/ap210210-9-7","url":null,"abstract":"","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70582443","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Spectral symmetry of solutions of boundary value problems in Banach algebras Banach代数边值问题解的谱对称性
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2022-01-01 DOI: 10.4064/ap210520-4-10
G. Herzog, Peer Ch. Kunstmann
{"title":"Spectral symmetry of solutions of boundary value problems in Banach algebras","authors":"G. Herzog, Peer Ch. Kunstmann","doi":"10.4064/ap210520-4-10","DOIUrl":"https://doi.org/10.4064/ap210520-4-10","url":null,"abstract":". For Banach algebras A and solutions u : [0 , 1] → A of u ′′ ( t ) + f ( u ( t )) + λu ′ ( t ) 2 = 0 , u (0) = 0 , u (1) = 0 , we prove symmetry of the spectrum σ ( u ( t )) , that is, σ ( u ( t )) = σ ( u (1 − t )) for all t ∈ [0 , 1] , whenever σ ( u ([0 , 1])) lies in a cone of the complex plane.","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70582741","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Singular Hardy–Adams inequalities on hyperbolic spaces of any even dimension 任意偶维双曲空间上的奇异Hardy-Adams不等式
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2022-01-01 DOI: 10.4064/ap211020-29-4
Xumin Wang, Guanglan Wang
{"title":"Singular Hardy–Adams inequalities on hyperbolic spaces of any even dimension","authors":"Xumin Wang, Guanglan Wang","doi":"10.4064/ap211020-29-4","DOIUrl":"https://doi.org/10.4064/ap211020-29-4","url":null,"abstract":"","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70583133","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A plurisubharmonic Hopf lemma fordomains with cusp conditions 具有尖点条件域的多次谐波Hopf引理
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2022-01-01 DOI: 10.4064/ap220122-3-5
Boyong Chen, Yuanpu Xiong
{"title":"A plurisubharmonic Hopf lemma for\u0000domains with cusp conditions","authors":"Boyong Chen, Yuanpu Xiong","doi":"10.4064/ap220122-3-5","DOIUrl":"https://doi.org/10.4064/ap220122-3-5","url":null,"abstract":"","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70585261","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Embedding Hardy spaces $H^p$ into tent spaces and generalized integration operators Hardy空间$H^p$嵌入帐篷空间及广义积分算子
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2022-01-01 DOI: 10.4064/ap210512-1-10
R. Qian, Xiangling Zhu
{"title":"Embedding Hardy spaces $H^p$ into tent spaces and generalized integration operators","authors":"R. Qian, Xiangling Zhu","doi":"10.4064/ap210512-1-10","DOIUrl":"https://doi.org/10.4064/ap210512-1-10","url":null,"abstract":"","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70582672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Optimal large-time behaviorof the full 3D compressible MHD system 全三维可压缩MHD系统的最佳大时间性能
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2022-01-01 DOI: 10.4064/ap210925-7-3
Hang Wang, Yinghui Zhang
{"title":"Optimal large-time behavior\u0000of the full 3D compressible MHD system","authors":"Hang Wang, Yinghui Zhang","doi":"10.4064/ap210925-7-3","DOIUrl":"https://doi.org/10.4064/ap210925-7-3","url":null,"abstract":"","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70583313","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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